22713264 has 240 divisors, whose sum is σ = 80575200. Its totient is φ = 6096384.

The previous prime is 22713239. The next prime is 22713277. The reversal of 22713264 is 46231722.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613854 + ... + 613890.

It is an arithmetic number, because the mean of its divisors is an integer number (335730).

Almost surely, 2^22713264 is an apocalyptic number.

22713264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22713264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40287600).

22713264 is an abundant number, since it is smaller than the sum of its proper divisors (57861936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22713264 is a wasteful number, since it uses less digits than its factorization.

22713264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 22713264 is about 4765.8434720414. The cubic root of 22713264 is about 283.1999569089.

Adding to 22713264 its reverse (46231722), we get a palindrome (68944986).

The spelling of 22713264 in words is "twenty-two million, seven hundred thirteen thousand, two hundred sixty-four".